Continuous data assimilation of a discretized barotropic vorticity model of geophysical flow

Basit Öğe Kaydı
dc.authoridDiegel, Amanda/0000-0003-1550-0609
dc.contributor.authorAkbas, Mine
dc.contributor.authorDiegel, Amanda E.
dc.contributor.authorRebholz, Leo G.
dc.date.accessioned2025-03-17T12:27:25Z
dc.date.available2025-03-17T12:27:25Z
dc.date.issued2024
dc.departmentTarsus Üniversitesi
dc.description.abstractWe consider continuous data assimilation applied to a finite element spatial discretization and backward difference temporal discretization of the barotropic vorticity model of geophysical flow. We prove that with sufficient measurement data and properly chosen nudging parameter (guided by our analysis), the proposed algorithm achieves optimal long-time accuracy for any initial condition. While our analysis requires nudging of both the streamfunction and vorticity, our numerical tests indicate that nudging only the streamfunction can be sufficient.
dc.description.sponsorshipNSF [DMS 2110768, DMS 2152623]
dc.description.sponsorshipPartially supported by NSF grant DMS 2110768. 2 Partially supported by NSF grant DMS 2152623.
dc.identifier.doi10.1016/j.camwa.2024.02.004
dc.identifier.endpage45
dc.identifier.issn0898-1221
dc.identifier.issn1873-7668
dc.identifier.scopus2-s2.0-85185197285
dc.identifier.scopusqualityQ1
dc.identifier.startpage30
dc.identifier.urihttps://doi.org/10.1016/j.camwa.2024.02.004
dc.identifier.urihttps://hdl.handle.net/20.500.13099/2245
dc.identifier.volume160
dc.identifier.wosWOS:001186713800001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherPergamon-Elsevier Science Ltd
dc.relation.ispartofComputers & Mathematics With Applications
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20250316
dc.subjectBarotropic vorticity equation
dc.subjectQuasi-geostrophic equation
dc.subjectContinuous data assimilation
dc.subjectLong time accuracy
dc.subjectFinite element method
dc.titleContinuous data assimilation of a discretized barotropic vorticity model of geophysical flow
dc.typeArticle

Dosyalar

Koleksiyon

WoS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu